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Haspot, Boris

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Résumé en anglais

This paper is dedicated to the study of viscous compressible barotropic fluids in dimension $N\geq2$. We address the question of well-posedness for {\it large} data having critical Besov regularity. Our result improves the analysis of R. Danchin in \cite{DW}, of Chen et al in \cite{C2} and of the author in \cite{H1, H2} inasmuch as we may take initial density in $B^{\NN}_{p,1}$ with $1\leq p